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Finding the Fourth Proportional to 715.42, 1,071.51 and 426.25

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Solution

The fourth proportional to 715.42, 1,071.51 and 426.25 is: 638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 1,071.51 = 426.25 : x
  2. Step 2: Convert to fraction form
    715.42/1,071.51 = 426.25/x
  3. Step 3: Cross multiply
    715.42x = 1,071.51 × 426.25
  4. Step 4: Simplify right side
    715.42x = 456,731.14
  5. Step 5: Solve for x
    x = 456,731.14/715.42
  6. Step 6: Final answer
    x = 638.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.